A model structure on the category of pro-simplicial sets

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dc.creatorIsaksen, Daniel C.
dc.date2001-06-18
dc.date.accessioned2026-07-07T04:42:13Z
dc.date.available2026-07-07T04:42:13Z
dc.descriptionWe study the category pro-SSet of pro-simplicial sets, which arises in etale homotopy theory, shape theory, and pro-finite completion. We establish a model structure on pro-SSet so that it is possible to do homotopy theory in this category. This model structure is closely related to the strict structure of Edwards and Hastings. In order to understand the notion of homotopy groups for pro-spaces we use local systems on pro-spaces. We also give several alternative descriptions of weak equivalences, including a cohomological characterization. We outline dual constructions for ind-spaces.
dc.identifierhttps://arxiv.org/abs/math/0106152
dc.identifierhttp://arxiv.org/abs/math/0106152
dc.identifierTrans. Amer. Math. Soc. 353 (2001), 2805--2841
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61683
dc.subjectAlgebraic Topology
dc.subject18E35, 55Pxx, 55U35 (primary), 14F35, 55P60 (secondary)
dc.titleA model structure on the category of pro-simplicial sets
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